testRotate(new int[] {1, 2, 3, 4}, 5, new int[] {4, 1, 2, 3});
    testRotate(new int[] {1, 2, 3, 4}, 9, new int[] {4, 1, 2, 3});

    testRotate(new int[] {1, 2, 3, 4, 5}, -6, new int[] {2, 3, 4, 5, 1});
    testRotate(new int[] {1, 2, 3, 4, 5}, -4, new int[] {5, 1, 2, 3, 4});
    testRotate(new int[] {1, 2, 3, 4, 5}, -3, new int[] {4, 5, 1, 2, 3});

  // Double#doubleToRawLongBits(double)} spec.
  static final long SIGN_MASK = 0x8000000000000000L;

  static final int SIGNIFICAND_BITS = 52;

  static final int EXPONENT_BIAS = 1023;

  /** The implicit 1 bit that is omitted in significands of normal doubles. */
  static final long IMPLICIT_BIT = SIGNIFICAND_MASK + 1;

  static long getSignificand(double d) {

* Bound cloud allocator to 10 retries with 100 ms delay between retries. ([#61375](https://github.com/kubernetes/kubernetes/pull/61375), [@satyasm](https://github.com/satyasm))
* Fixed [#61123](https://github.com/kubernetes/kubernetes/pull/61123) by triggering syncer.Update on all cases including when a syncer is created ([#61124](https://github.com/kubernetes/kubernetes/pull/61124), [@satyasm](https://github.com/satyasm))
    * on a new add event.

        .addEqualityGroup(
            ImmutableLongArray.of(1, 2),
            reserialize(ImmutableLongArray.of(1, 2)),
            ImmutableLongArray.of(0, 1, 2, 3).subArray(1, 3))
        .addEqualityGroup(ImmutableLongArray.of(1, 3))
        .addEqualityGroup(ImmutableLongArray.of(1, 2, 3))
        .testEquals();
  }

  /**
   * This is probably a weird and hacky way to test what we're really trying to test, but hey, it

        assertEquals(0, new BigDecimal("0.0000001").compareTo(BigDecimalConversionUtil.toBigDecimal(Double.valueOf(0.0000001D))));

        assertEquals(0, new BigDecimal("0.123").compareTo(BigDecimalConversionUtil.toBigDecimal(Double.valueOf(0.123D))));
        assertEquals(0, new BigDecimal("0.0123").compareTo(BigDecimalConversionUtil.toBigDecimal(Double.valueOf(0.0123D))));

        .addEqualityGroup(
            ImmutableLongArray.of(1, 2),
            reserialize(ImmutableLongArray.of(1, 2)),
            ImmutableLongArray.of(0, 1, 2, 3).subArray(1, 3))
        .addEqualityGroup(ImmutableLongArray.of(1, 3))
        .addEqualityGroup(ImmutableLongArray.of(1, 2, 3))
        .testEquals();
  }

  /**
   * This is probably a weird and hacky way to test what we're really trying to test, but hey, it

    assertThrows(IllegalArgumentException.class, () -> intermediate.indexes(1, -1, 3));
  }

  public void testScale_indexes_varargs_tooHigh() {
    Quantiles.Scale intermediate = Quantiles.scale(10);
    assertThrows(IllegalArgumentException.class, () -> intermediate.indexes(1, 11, 3));
  }

  public void testScale_indexes_collection_negative() {

    assertThrows(IllegalArgumentException.class, () -> intermediate.indexes(1, -1, 3));
  }

  public void testScale_indexes_varargs_tooHigh() {
    Quantiles.Scale intermediate = Quantiles.scale(10);
    assertThrows(IllegalArgumentException.class, () -> intermediate.indexes(1, 11, 3));
  }

  public void testScale_indexes_collection_negative() {

  }

  /**
   * Returns a string containing the supplied {@code int} values separated by {@code separator}. For
   * example, {@code join("-", 1, 2, 3)} returns the string {@code "1-2-3"}.
   *
   * @param separator the text that should appear between consecutive values in the resulting string
   *     (but not at the start or end)

///

### Create a callback `APIRouter` { #create-a-callback-apirouter }

First create a new `APIRouter` that will contain one or more callbacks.

{* ../../docs_src/openapi_callbacks/tutorial001_py310.py hl[1,23] *}

### Create the callback *path operation* { #create-the-callback-path-operation }

To create the callback *path operation* use the same `APIRouter` you created above.